Chinese Quarterly Journal of Mathematics ›› 2000, Vol. 15 ›› Issue (2): 1-5.

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The q-ultraspherical Polynomials and Some Identities of the Rogers-Ramanujan Type

  

  1.  新乡教育学院数学系 河南新乡453000
  • Received:1995-09-07 Online:2000-06-30 Published:2024-07-29
  • About author:LIU Zhi-guo(1963-),male,native of Wuzhi,Henan,an associate professor of Xinxiang Education College engages in elliptic functions‚q-series and combinatorial number theory.

Abstract: 利用 q_超球多项式的两个简单性质 ,建立了关于 q_级数的两个变换公式 .借助这些变换公式并结合著名的RogersRamanujan恒等式 ,给出了若干RogersRamanujan型恒等式的简洁证明.

Key words:  , q_级数, q_超球多项式, Rogers-Ramanujan型恒等式,  ,

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